GCF and LCM Calculator Logo

What is the Least Common Multiple of 13000 and 13008?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 13000 and 13008 is 21138000.

LCM(13000,13008) = 21138000

LCM Calculator and
and

Least Common Multiple of 13000 and 13008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13000 and 13008, than apply into the LCM equation.

GCF(13000,13008) = 8
LCM(13000,13008) = ( 13000 × 13008) / 8
LCM(13000,13008) = 169104000 / 8
LCM(13000,13008) = 21138000

Least Common Multiple (LCM) of 13000 and 13008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13000 and 13008. First we will calculate the prime factors of 13000 and 13008.

Prime Factorization of 13000

Prime factors of 13000 are 2, 5, 13. Prime factorization of 13000 in exponential form is:

13000 = 23 × 53 × 131

Prime Factorization of 13008

Prime factors of 13008 are 2, 3, 271. Prime factorization of 13008 in exponential form is:

13008 = 24 × 31 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 13000 and 13008.

LCM(13000,13008) = 24 × 53 × 131 × 31 × 2711
LCM(13000,13008) = 21138000